Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 6 inches.What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.)

Answers

Answer 1

Answer:

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 69, \sigma = 6[/tex]

What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall?

This is the pvalue of Z when X = 70 subtracted by the pvalue of Z when X = 68. So

X = 70

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 69}{6}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a pvalue of 0.5675

X = 68

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68 - 69}{6}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a pvalue of 0.4325

0.5675 - 0.4325 = 0.1350

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall


Related Questions

Evaluate the given function for x=5 please help !​

Answers

Answer:

X = 3 - 3 * 2 x - 1 -

Step-by-step explanation:

1. Find the slope of the line through these points.(0,5) and (7,6)

Please help! ​

Answers

Answer:

slope: 1/7

Explanation:

N/A

Exploring Patterns in Data - Item 32485
Which conclusion can best be made from this scatter plot?
Average Temperature ("F)
As average annual rainfall increases, average
temperature remains constant
As average annual ra

Answers

Answer:

there is no correlation .

Step-by-step explanation:

ive been doing those questions too for my algebra class.

Solve the equation and check your solution. (If an answer does not exist, enter DNE. If all real numbers are solutions, enter REALS.)
4 − 6x = 52

Answers

Answer:

i think its DNE but im not sure... sorry

Please help. DO NOT POST A WRONG ANSWER PLEASE

Answers

Answer:

Just answering this for that you can mark brainliest the person who answered right :-) and sorry for my English lol

round to the nearest tenth (IXL Pythagorean theorem)

Answers

I think 8.0km is the answer

The number of fish in a lake increased by 20% between last year and this year. Last year there were 55 fish in the lake. What is the population this year?

Answers

Answer:

66

Step-by-step explanation:

55x(20/100)=11

55+11=66

–11 ≥ h/13 help plz h/13 is a fraction

Answers

Step-by-step explanation:

-11 ≥ h/13

multiply both sides of the inequality by 13.

-143≥ h

Does this sample support a claim that more than 10% of job applicants in California test positive for drug use

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

Let p become a screen positive for substance use throughout California

To test [tex]H_0 : p = 0.1_{against} \ H_0:p>0.1[/tex]

In California, [tex]\hat{P}[/tex] is a good test for medication and n seems to be the random sample.

The stats of the examination are given

[tex]\to z=\frac{\hat{p} -0.1}{\sqrt{\frac{0.1 \times 0.9}{n} }}_{\ that \ is \ under H_o \ follows \ a \ normal \ distribution}.[/tex]

They reject [tex]H_o \ at \ 5\%[/tex] if it's relevant:

[tex]\to |Z_{obs} |> Z_{0.05}\\\\Here\\\\ \to \hat{p} = \frac{145}{1200} = 0.121 \\\\ \to n = 1200\\\\ \to z_{obs} = 2.42487\\\\ \to Z_{0.05} = 1.64485[/tex]

[tex]\to z_{obs} = 2.42487 > z_{0.05}= 1.64485[/tex]

We, therefore, refuse  [tex]H_o \ at \ 5\%[/tex] level and we can infer that such a test supports an argument which Upwards of 10% of California jobseekers screen positive for use of medicines.

A store in Melrose, Massachusetts advertised a 35-mm camera for $259.99 and a wide-angle lens for $89.99. What is the total purchase price if the state sales tax rate is 6 percent

Answers

Answer:

The total purchase price is $370.97.

Step-by-step explanation:

Given;

price of the 35-mm camera, =  $259.99

price of the wide-angle lens = $89.99

TAX rate = 6% = 0.06

The total purchase price = 0.06($259.99 + $89.99) + ($259.99 + $89.99)

The total purchase price = $20.99 + 349.98

The total purchase price = $370.97

Therefore, the total purchase price is $370.97.

Laura tiene que resolver 9+ 8. Explica
cómo puede usar 8 + 8 para hallar la suma.

Answers

Answer:

Puede sumar 9 + 8 y luego restar 1 de eso para obtener la respuesta

Step-by-step explanation:

What value of “w” makes this proportion true?
0.6/1.6 = w/1.2

Answers

Answer:

w=0.45

Step-by-step explanation:

0.6/1.6=w/1.2

=>w=1.2 x 0.6/1.6

=>w=0.45

find the area of the circle. round your answer to the nearest hundredth

Answers

Answer:

The area of the circle is 8cm^2

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

The area of the circle: pi times radius squared soo

radius 2cm divided by 2 equals 1 cm so pi times radius squared 3.14 × 1 squared so ur answer is 3.14

You charge 2500 to a credit card. Use the compound interest formula to find the new amount you owe on your credit card after 6 months 20% APR compounded daily (assuming you don’t make any payments)

Answers

Answer: Well This is what  24% APR on a credit card is?

If you have a credit card with a 24% APR, that's the rate you're charged over 12 months, which comes out to 2% per month. Since months vary in length, credit cards break down APR even further into a daily periodic rate (DPR). It's the APR divided by 365, which would be 0.065% per day for a card with 24% APR.

Step-by-step explanation:

PLEASE HELP PLEASEEEEE
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 5−x and y = 2x + 1 intersect are the solutions of the equation 5−x = 2x + 1.
Part B: Make tables to find the solution to 5−x = 2x + 1. Take the integer values of x between −3 and 3.
Part C: How can you solve the equation 5−x = 2x + 1 grap hically?​

Answers

Answer:

y = 5 - x → standard form y = -x + 5

y = 2x + 1

A: If two sides of an equation are set equal to each other, their value is a point of intersection because they will both equal a certain value.

B:

3 → 5 - 3 = 2(3) + 1 → 2 = 6 + 1 → 2 ≠ 7

2 → 5 - 2 = 2(2) + 1 → 3 = 4 + 1 → 3 ≠ 5

1 → 5 - 1 = 2(1) + 1 → 4 = 2 + 1 → 4 ≠ 3

0 → 5 - 0 = 2(0) + 1 → 5 = 0 + 1 → 5 ≠ 1

-1 → 5 - (-1) = 2(-1) + 1 → 6 = -2 + 1 → 6 ≠ -1

-2 → 5 - (-2) = 2(-2) + 1 → 7 = -4 + 1 → 7 ≠ -3

-3 → 5 - (-3) = 2(-3) + 1 → 8 = -6 + 1 → 8 ≠ -5

algebraically ↓

-x + 5 = 2x + 1 → 4 = 3x → x = 4/3

C: graphically

graph both equations and find point of intersection

Part A

We know these points are the solutions to [tex]5-x=2x+1[/tex] because by setting the two equations equal to each other, we find where they intersect, and those points are the solutions to the equation.

Part B

[tex]\begin{array}{|c|c|c|c|}\cline{1-4}\bf x&\bf5-x&\bf2x+1&\bf5-x=2x+1\\\cline{1-4}-3&8&-5&8\neq-5\\\cline{1-4}-2&7&-3&7\neq-3\\\cline{1-4}-1&6&-1&6\neq-1\\\cline{1-4}0&5&1&0\neq1\\\cline{1-4}1&4&3&4\neq3\\\cline{1-4}2&3&5&3\neq5\\\cline{1-4}3&2&7&2\neq7\\\cline{1-4}\end{array}[/tex]

Part B and a half

Since none of those values are correct solutions, let's solve this equation algebraically, even though the question doesn't ask for us to do so.

[tex]\begin{aligned}5-x&=2x+1\\-x&=2x+1-5\\-x-2x&=1-5\\-3x&=-4\\x&=\boxed{\frac{4}{3}}\end{aligned}[/tex]

Part C

We can solve the equation graphically by graphing both [tex]y=5-x[/tex] and [tex]y=2x+1[/tex], then finding where they meet. This is shown in the attachment below.

Determine if (1, 3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5

Answers

Answer:

No, because substituting the given ordered pair doesn't yields two true expressions

Step-by-step explanation:

5x + y = 8

5 + 3 = 8 so thats correct

x + 2y = 5

1 + 6 =7, not 5

so only 1 is correct

no one is correct hoped that helps !

Due in 1 minute please help I-ready

Answers

Answer:

29 1/3

Step-by-step explanation:

All I did was 1760/60 and got that! I hope its right and I hope this helps!!

Simplify sin θ/cosθ tan θ to a number or a single trigonometric function

Answers

Answer:

The answer is below

Step-by-step explanation:

Trigonometric functions are functions used in right angled triangles to relate an angle in the triangle to the ratio of two side. The most common trigonometric functions are the sine, the cosine, and the tangent.

Some trigonometric identities are:

secθ = 1/ cosθ, cosecθ = 1 / sinθ, tanθ = sinθ / cosθ, cotθ = 1 / tanθ = cosθ / sinθ.

Hence simplifying the question:

[tex]\frac{sin\theta}{cos\theta tan\theta} =\frac{sin\theta}{cos\theta *\frac{sin\theta}{cos\theta} }\\\\=\frac{sin\theta}{sin\theta}\\\\=1[/tex]

If you start a bank account with $100 and you deposit $25 each month, what equation
correctly represents this situation?

Answers

Step-by-step explanation:

so you start with $100

every month you get $25

so you could call $25 n

so every month you get n added to the bank account

so you could call the $100 s (which represents start)

and do s+n for every month and if you need to show that for a year then:

s+(nx12)

Can someone help me

Answers

Answer:

y=2x

...............mm.

Simplify each expression using the order of operations.

13(-3 + n)

pls hurry my sister needs to turn this in soon ​

Answers

Answer:

I believe the answer is -39+13x

Step-by-step explanation:

The coordinates of point Care
A. (3,-1)
B. (1, -3)
C. (3,1)
D. (-3,1)
E. (-3,-1)

Answers

D (-3,1) hopes this helps

Answer: (-1,3)

Step-by-step explanation:

what is the solution to the system of equations ​

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

These equations are the same. The only difference being one is written in fractions and the other is in decimals. Since they are the same, they will have infinitely many solutions.

plz help me!?!?

and thank u

Answers

Answer:

-4.8+2.5-7.8

= -10.1

Step-by-step explanation:

Are the ratios proportional?
10/12 and 20/32

Answers

Answer:

no they arent

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

10/12 can be simplified as 5/6 however 20/32 turns to 10/16 which then can be simplified to 5/8

In a certain town, 23% of males have a beard. In random samples of 25 men from
this town, what are the mean and standard deviation of the number of men with
a beard?

Answers

Answer:

Mean    μ = 5.75

Standard deviation  σ = 2.1041

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 25

Given proportion p= 23% = 0.23

Let 'X' be the random variable in a binomial distribution

Mean    μ = np = 25 × 0.23 = 5.75

Step(ii):-

Standard deviation

          σ = √npq

         σ = [tex]\sqrt{25 X 0.23 X0.77}[/tex]

        σ = 2.1041

The two quantitative elements of process variation are: Select one: a. common cause and special cause b. median and variance c. central tendency and spread d. inspection and detection

Answers

Answer:

The two quantitative elements of process variation are:

a. common cause and special cause.

Step-by-step explanation:

When a process fails to follow the prescribed process pattern, with reduced productivity, higher costs, longer lead times, and late deliveries, a process variation has occurred.  Thus, process variation is a leading cause of quality issues.  There are common cause variation, which is inherent in the system itself, and special cause variation, which is caused by external factors outside of the system.  Process variations can be reduced by reducing the common and special cause variations, among other steps.

IXL pls help!.....................

Answers

Answer:

7 meters

Step-by-step explanation:

Simple solving method:

15 - 8 = 7

Answer:

7 meters

Step-by-step explanation:

yayayayayayayay

100 percent increase followed by a 50 percent decrease

Answers

Answer:

sounds like it stayed at 50 percent dawg

Which expression is a difference of a number and a product?

A.10-8x
B. 7+x
C.8 + x-2
D. 4(x +7)

Please answer truely this is a hard test

Answers

Answer:

c. i think

Step-by-step explanation:

Answer:

Is he right about that?

Step-by-step explanation:

Other Questions
what body part is the metric system based upon How did the English colonist of North America feel about the issuance of the Proclamation of 1763? How did they respond to it? On the basis of blood type, you know that one of the children could not have been the son of the two adults. Does this prove that the other child is their son Which describes tenant farmers?A. They farm and live on the same land B. They rent land to other farmers to useC. They live in cities and work in rural areasD. They farm land owned by someone else ________________________ is enormously important to the survival of species because it allows populations to better handle environmental variables, such as weather extremes, changes in food supply, or disease. Martha's weight is 75kg. Her weight increased by 3%. What is her new weight?please help me Units obtained by combining Sl units are called derived units.true or false You can answer this so u can ask ur questions:)How was your day? Simplify: 5 + p > 3;-; How do citizens hold representative s accountable for the choices they make? A garden shop always sells the same. under if plants per box. Using the information in the table, how many plants will be in 8 boxes Which of the following is not a natural change to the envlronment? drought , flood, disease ranching What is a third party? Please Help!A. A political party that includes both major political partiesB. A political party that discourages political participationC. A political party that opposes the two major political partiesD. A political party that calls for the elimination of the federal government After 8 hours of snow, thetemperature had changedby atotal of -169 What was theaverage change in temperatureeach hour while it was snowing?I Evaluate 9 - 3 times 2 + 4.A 6B 7C 15D 16 Complete each table. Explain whether the relationship between x and y isproportional or nonproportional and whether it is linear.Please help I only have about 10 minutes left Any part of this will help my brother needs help and I dont know how to do fraction models. Giving brainliest to whoever helps An ice cream shop sold 48 vanilla milkshakes in a day, which was 40% of the total numberof milkshakes sold that day. What was the total number of milkshakes that the ice creamshop sold that day? need help ASAP due today Select all the expressions that are greater than 3.Group of answer choices1.67 +42.97 + 0.0043.017 - 0.054.5-1.475.503 - 2.52